GCF of 5057/370, 8816/8645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5057/370, 8816/8645 i.e 1/639730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5057/370, 8816/8645.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5057/370,8816/8645?
Given fractions are 5057/370,8816/8645
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5057/370,8816/8645, numerators are 5057,8816
Denominators are 370,8645
The GCF of 5057,8816 is 1 .
LCM of 370,8645 is 639730.
The greatest common factor of 5057/370,8816/8645 = [GCF of 5057,8816]/[LCM of 370,8645]= 1/639730
Therefore, the GCF of 5057/370,8816/8645 is 1/639730.
To find the highest common factor of 5057,8816, we have to find the factors of both numbers and list the highest common factor.
The factors of 5057 are 1, 13, 389, 5057
The factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The HCF of 5057,8816 is 1.
Lets's calculate GCF of 5057,8816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5057,8816 By Matching Biggest Common Factor Method
Now, list down the factors of 5057
:1,13,389,5057
Now, list down the factors of 8816
:1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors 5057,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 5057,8816 is 1.
Lets's calculate LCM of 370,8645
| 5 | 370, 8645 |
| 74, 1729 |
∴ So the LCM of the given numbers is 5 x 74 x 1729 = 639730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/639730
Therefore, the GCF of Fractions 5057/370,8816/8645 is 1/639730
Least Common Multiple of 370,8645 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 370,8645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,8645) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(370,8645) x common factors =5 x 1 = 5
LCM(370,8645) = ( 370 × 8645 ) / 5
LCM(370,8645) = 3198650 / 5
LCM(370,8645) = 639730
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FAQs on GCF of Fractions of 5057/370, 8816/8645
1. What is the HCF of 5057,8816?
The HCF of 5057,8816 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5057/370, 8816/8645?
Answer: GCF of Numerators as per given numbers 5057/370, 8816/8645 is
GCF of Numerators i.e. for 5057,8816 is 1
LCM of denominators i.e. for 370,8645 is 639730.
Thus, GCF of Fractions is 1/639730.Finally, GCF of Fractions for 5057/370, 8816/8645 is 1/639730.